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Fred the ant is on the real number line, and Fred is trying to get to the point 0.

If Fred is at 1 then on the next step, Fred moves to either 0 or  2 with equal probability.

If Fred is at 2 then on the next step, Fred always moves to 1. 

 

Let e1 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 1.  

Similarly, let e2 be expected number of steps Fred takes to get to 0 given that Fred starts at the point 2  

 

Determine the ordered pair (e1, e2)

 Aug 10, 2020
 #1
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(e1,e2) = (4,6).

 Aug 11, 2020
 #2
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+1

See https://web2.0calc.com/questions/probability-question_35#r5

 Aug 11, 2020

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